Add the polynomial expressions 3−2p−5p2 and p4−3p+4 .(1 point)

To add the polynomial expressions \(3 - 2p - 5p^2\) and \(p^4 - 3p + 4\), we will combine like terms.

1. The first polynomial:
\[
3 - 2p - 5p^2
\]

2. The second polynomial:
\[
p^4 - 3p + 4
\]

Now, we will rewrite both polynomials and group like terms:

\[
(3 + 4) + (-2p - 3p) + (-5p^2) + (p^4)
\]

This gives us:

- The constant terms: \(3 + 4 = 7\)
- The \(p\) terms: \(-2p - 3p = -5p\)
- The \(p^2\) term: \(-5p^2\)
- The \(p^4\) term: \(p^4\)

Putting it all together, we get:

\[
p^4 - 5p^2 - 5p + 7
\]

So the final expression after adding the two polynomials is:

\[
p^4 - 5p^2 - 5p + 7
\]

The correct response is:
**\(p^4 - 5p^2 - 5p + 7\)**